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Finding the Fourth Proportional to 2,732.40, 3,771.72 and 2,070.72

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Solution

The fourth proportional to 2,732.40, 3,771.72 and 2,070.72 is: 2,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.40 : 3,771.72 = 2,070.72 : x
  2. Step 2: Convert to fraction form
    2,732.40/3,771.72 = 2,070.72/x
  3. Step 3: Cross multiply
    2,732.40x = 3,771.72 × 2,070.72
  4. Step 4: Simplify right side
    2,732.40x = 7,810,176.04
  5. Step 5: Solve for x
    x = 7,810,176.04/2,732.40
  6. Step 6: Final answer
    x = 2,858.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.